Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415017 | Journal of Functional Analysis | 2016 | 19 Pages |
Abstract
Using representation theory, we compute the spectrum of the Dirac operator on the universal covering group of SL2(R), exhibiting it as the generator of KK1(C,A), where A is the reduced Câ-algebra of the group. This yields a new and direct computation of the K-theory of A. A fundamental role is played by the limit-of-discrete-series representation, which is the frontier between the discrete and the principal series of the group. We provide a detailed analysis of the localised spectra of the Dirac operator and compute the Dirac cohomology.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jacek Brodzki, Graham A. Niblo, Roger Plymen, Nick Wright,